GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 25 Sep 2018, 02:51

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Suzie’s Discount Footwear sells all pairs of shoes for one price and

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49437
Suzie’s Discount Footwear sells all pairs of shoes for one price and  [#permalink]

Show Tags

New post 27 Jul 2016, 01:47
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

94% (02:41) correct 6% (04:48) wrong based on 51 sessions

HideShow timer Statistics

Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?

A. $2.50
B. $5.00
C. $5.50
D. $7.50
E. $15.00

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Retired Moderator
avatar
G
Joined: 26 Nov 2012
Posts: 595
Premium Member
Suzie’s Discount Footwear sells all pairs of shoes for one price and  [#permalink]

Show Tags

New post Updated on: 29 Jul 2016, 00:57
1
Bunuel wrote:
Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?

A. $2.50
B. $5.00
C. $5.50
D. $7.50
E. $15.00




Let X be pair of shoes and Y be pair of boots.

22x+16y = 650 ... eq1
8x +32y = 760....eq 2.

Now multiply eq 1 by 2 and sub eq 2.

44x = 1300
8x = 760.
- -
______________
36x = 540 => x = 15.

Sub x in eq 2.... we get 120 + 32y = 760... then we get 32y = 640 then y = 20

Differenece between X and Y is 5.

IMO option B is correct answer.

OA plesae...will correct if I missed anything.

Originally posted by msk0657 on 27 Jul 2016, 03:37.
Last edited by msk0657 on 29 Jul 2016, 00:57, edited 2 times in total.
Current Student
User avatar
Joined: 18 Oct 2014
Posts: 870
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
GMAT ToolKit User
Re: Suzie’s Discount Footwear sells all pairs of shoes for one price and  [#permalink]

Show Tags

New post 27 Jul 2016, 13:41
1
Bunuel wrote:
Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?

A. $2.50
B. $5.00
C. $5.50
D. $7.50
E. $15.00


22S+16B= 650
8S+32B= 760

Solving above two equations we get:-
S=15
B=20

And the difference is 5

B is the answer
_________________

I welcome critical analysis of my post!! That will help me reach 700+

Intern
Intern
avatar
B
Joined: 27 Jul 2016
Posts: 8
Location: India
Schools: Krannert '20
GMAT 1: 700 Q59 V34
GPA: 3.15
Re: Suzie’s Discount Footwear sells all pairs of shoes for one price and  [#permalink]

Show Tags

New post 27 Jul 2016, 22:18
1
msk0657 wrote:
Bunuel wrote:
Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?

A. $2.50
B. $5.00
C. $5.50
D. $7.50
E. $15.00




Let X be pair of shoes and Y be pair of boots.

22x+16y = 650 ... eq1
8x +32y = 760....eq 2.

Now multiply eq 1 by 2 and sub eq 2.

44x = 1300
8x = 760.
- -
______________
36x = 540 => x = 15.

Sub x in eq 2.... we get 120 + 32y = 760... then we get 32y = 640 then y = 20

Differenece between X and Y is 5.

IMO option C is correct answer.

OA plesae...will correct if I missed anything.


The answer is indeed 5 but the option is B
Retired Moderator
avatar
G
Joined: 26 Nov 2012
Posts: 595
Premium Member
Re: Suzie’s Discount Footwear sells all pairs of shoes for one price and  [#permalink]

Show Tags

New post 29 Jul 2016, 00:58
ABHISHEK8998 wrote:
msk0657 wrote:
Bunuel wrote:
Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?

A. $2.50
B. $5.00
C. $5.50
D. $7.50
E. $15.00




Let X be pair of shoes and Y be pair of boots.

22x+16y = 650 ... eq1
8x +32y = 760....eq 2.

Now multiply eq 1 by 2 and sub eq 2.

44x = 1300
8x = 760.
- -
______________
36x = 540 => x = 15.

Sub x in eq 2.... we get 120 + 32y = 760... then we get 32y = 640 then y = 20

Differenece between X and Y is 5.

IMO option C is correct answer.

OA plesae...will correct if I missed anything.


The answer is indeed 5 but the option is B


Thanks..I edited the option...:)
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2835
Re: Suzie’s Discount Footwear sells all pairs of shoes for one price and  [#permalink]

Show Tags

New post 06 Mar 2018, 11:27
Bunuel wrote:
Suzie’s Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for $650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $760. How much more do pairs of boots cost than pairs of shoes at Suzie’s Discount Footwear?

A. $2.50
B. $5.00
C. $5.50
D. $7.50
E. $15.00


We can let h and b = the price per pair of shoes and boots, respectively, and create the equations:

22h + 16b = 650

11h + 8b = 325 (Eq. 1)

and

8h + 32b = 760

h + 4b = 95 (Eq. 2)

Multiplying Eq. 2 by -2 we have:

-2h - 8b = -190 (Eq. 3)

Adding Eq. 1 and Eq. 3 we have:

9h = 135

h = 15

Substituting h = 15 into Eq. 2 we have:

15 + 4b = 95

4b = 80

b = 20

Thus a pair of boots costs 20 - 15 = 5 dollars more than a pair of shoes.

Answer: B
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

GMAT Club Bot
Re: Suzie’s Discount Footwear sells all pairs of shoes for one price and &nbs [#permalink] 06 Mar 2018, 11:27
Display posts from previous: Sort by

Suzie’s Discount Footwear sells all pairs of shoes for one price and

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.